Show that the graph of the equation r sin =a is a horizontal line a units above the pole if a>0 and lal units below the pole if a < 0. If P is a point with polar coordinates (r,0), determine the rectangular coordinates (x,y) of P. and y=[ Because rsin 8 = a, it means y = The polar equation r sin = a converts to the rectangular equation found above. The rectangular equation is a horizontal line a units above the pole if a > 0 and lal units below the pole if a < 0. X =

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 44CT
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Show that the graph of the equation r sin =a is a horizontal line a units above the pole if a>0 and lal units below the
pole if a < 0.
...
If P is a point with polar coordinates (r,0), determine the rectangular coordinates (x,y) of P.
and y=
Because rsin 0 = a, it means y =
The polar equation r sin = a converts to the rectangular equation found above. The rectangular equation is a horizontal
line a units above the pole if a>0 and lal units below the pole if a < 0.
X=
Transcribed Image Text:Show that the graph of the equation r sin =a is a horizontal line a units above the pole if a>0 and lal units below the pole if a < 0. ... If P is a point with polar coordinates (r,0), determine the rectangular coordinates (x,y) of P. and y= Because rsin 0 = a, it means y = The polar equation r sin = a converts to the rectangular equation found above. The rectangular equation is a horizontal line a units above the pole if a>0 and lal units below the pole if a < 0. X=
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